I didn't remember so I went and checked the film which I saved.
Load it up... the perspective is now perfectly normal. It wasn't before as in the saved film picture I linked above.
I guess rebooting Halo 4 must have fixed it. Weird.

The only glitch i've experienced is on Reclaimer, whereby tagging the second particle cannon too early teleports me next to the gauss hog and causes the Lich to never appear (with some additional annoying sound effects replaying over and over the background). I initially restarted the level and then did exactly the same thing with the same effect. Then googled it and found that a lot of other people had experienced it too. 3rd time around I simply went a bit further (up to where the hog is) and waited until the cannon had a red target on it before tagging it. Pretty annoying to have wasted about 2 hours on Legendary, but otherwise it was a fun level.